90-4x=0.6x^2-12x+80

Simple and best practice solution for 90-4x=0.6x^2-12x+80 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 90-4x=0.6x^2-12x+80 equation: 


Simplifying
90 + -4x = 0.6x2 + -12x + 80

Reorder the terms:
90 + -4x = 80 + -12x + 0.6x2

Solving
90 + -4x = 80 + -12x + 0.6x2

Solving for variable 'x'.

Reorder the terms:
90 + -80 + -4x + 12x + -0.6x2 = 80 + -12x + 0.6x2 + -80 + 12x + -0.6x2

Combine like terms: 90 + -80 = 10
10 + -4x + 12x + -0.6x2 = 80 + -12x + 0.6x2 + -80 + 12x + -0.6x2

Combine like terms: -4x + 12x = 8x
10 + 8x + -0.6x2 = 80 + -12x + 0.6x2 + -80 + 12x + -0.6x2

Reorder the terms:
10 + 8x + -0.6x2 = 80 + -80 + -12x + 12x + 0.6x2 + -0.6x2

Combine like terms: 80 + -80 = 0
10 + 8x + -0.6x2 = 0 + -12x + 12x + 0.6x2 + -0.6x2
10 + 8x + -0.6x2 = -12x + 12x + 0.6x2 + -0.6x2

Combine like terms: -12x + 12x = 0
10 + 8x + -0.6x2 = 0 + 0.6x2 + -0.6x2
10 + 8x + -0.6x2 = 0.6x2 + -0.6x2

Combine like terms: 0.6x2 + -0.6x2 = 0.0
10 + 8x + -0.6x2 = 0.0

Begin completing the square.  Divide all terms by
-0.6 the coefficient of the squared term: 

Divide each side by '-0.6'.
-16.66666667 + -13.33333333x + x2 = 0

Move the constant term to the right:

Add '16.66666667' to each side of the equation.
-16.66666667 + -13.33333333x + 16.66666667 + x2 = 0 + 16.66666667

Reorder the terms:
-16.66666667 + 16.66666667 + -13.33333333x + x2 = 0 + 16.66666667

Combine like terms: -16.66666667 + 16.66666667 = 0.00000000
0.00000000 + -13.33333333x + x2 = 0 + 16.66666667
-13.33333333x + x2 = 0 + 16.66666667

Combine like terms: 0 + 16.66666667 = 16.66666667
-13.33333333x + x2 = 16.66666667

The x term is -13.33333333x.  Take half its coefficient (-6.666666665).
Square it (44.44444442) and add it to both sides.

Add '44.44444442' to each side of the equation.
-13.33333333x + 44.44444442 + x2 = 16.66666667 + 44.44444442

Reorder the terms:
44.44444442 + -13.33333333x + x2 = 16.66666667 + 44.44444442

Combine like terms: 16.66666667 + 44.44444442 = 61.11111109
44.44444442 + -13.33333333x + x2 = 61.11111109

Factor a perfect square on the left side:
(x + -6.666666665)(x + -6.666666665) = 61.11111109

Calculate the square root of the right side: 7.817359598

Break this problem into two subproblems by setting 
(x + -6.666666665) equal to 7.817359598 and -7.817359598.


Subproblem 1
x + -6.666666665 = 7.817359598

Simplifying
x + -6.666666665 = 7.817359598

Reorder the terms:
-6.666666665 + x = 7.817359598

Solving
-6.666666665 + x = 7.817359598

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6.666666665' to each side of the equation.
-6.666666665 + 6.666666665 + x = 7.817359598 + 6.666666665

Combine like terms: -6.666666665 + 6.666666665 = 0.000000000
0.000000000 + x = 7.817359598 + 6.666666665
x = 7.817359598 + 6.666666665

Combine like terms: 7.817359598 + 6.666666665 = 14.484026263
x = 14.484026263

Simplifying
x = 14.484026263


Subproblem 2
x + -6.666666665 = -7.817359598

Simplifying
x + -6.666666665 = -7.817359598

Reorder the terms:
-6.666666665 + x = -7.817359598

Solving
-6.666666665 + x = -7.817359598

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6.666666665' to each side of the equation.
-6.666666665 + 6.666666665 + x = -7.817359598 + 6.666666665

Combine like terms: -6.666666665 + 6.666666665 = 0.000000000
0.000000000 + x = -7.817359598 + 6.666666665
x = -7.817359598 + 6.666666665

Combine like terms: -7.817359598 + 6.666666665 = -1.150692933
x = -1.150692933

Simplifying
x = -1.150692933


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {14.484026263, -1.150692933}

See similar equations:

| 0.4x-0.2(4-x)=2.5 | | 0.693x=x+1 | | -4(8n-1)=19+32n | | 1.386x=1+2 | | 6x-49=17 | | -7(8)+2(4)=3 | | 6x-4(2-x)=8 | | 4a-3b+5c=16 | | 27-17=2(x-1) | | 20x=ex+3 | | 30x-4+6x-10x-13= | | 2/x-6=7x | | 30-4+6x-10-13= | | -5+10y+10=14+13y-24 | | 15x+4=x+4 | | 6(45x-18)+34=7(7x+16)-10 | | N+-9=-24 | | -t^2+9t-8=0 | | 5=8b+13 | | 5y-9=-41 | | 8/12=(x-4)/20 | | 5x-2=2x+20 | | 6(45x-18)=7(7x+16)-10 | | 14-6x=-8x+18 | | y=2y-17 | | 3(3y+7)-24= | | 9x+4-5x=8x-6+x | | 7y+4=6y-8 | | F(x)=-8+9 | | 5-(2y)6+7(6)=45 | | 2v+13=27 | | -(5-6w)=4(5w-1)-14w-1 |

Equations solver categories